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z_scores_pg2.xlsx
z_scores_pg1.xlsx
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Positive z Scores
Standard Normal (z) Distribution: Cumulative Area from the Left
z
0
0,5
0,5398
0,5793
0,6179
0,6554
0,6915
0,7257
0,758
0,7881
0,8159
0,8413
0,8643
0,8849
0,9032
0,9192
0,9332
0,9452
0,9554
0,9641
0,9713
0,9772
0,9821
0,9861
0,9893
0,9918
0,9938
0,9953
0,9965
0,9974
0,9981
0,9987
0,999
0,9993
0,9995
0,9997
0,9999
0
0,1
0,2
0,3
0,4
0,5
0,6
0,7
0,8
0,9
1
1,1
1,2
1,3
1,4
1,5
1,6
1,7
1,8
1,9
2
2,1
2,2
2,3
2,4
2,5
2,6
2,7
2,8
2,9
3
3,1
3,2
3,3
3,4
3.50 and up
Note: For values of z above 3.49, use 0.9999 for the area.
*Use these common values that result from interpolation:
z score
Area
1,645
2,575
Common Critical Values
Confidence Level
0,95
0,995
Critical Value
0,9
1,645
0,01
0,504
0,5438
0,5832
0,6217
0,6591
0,695
0,7291
0,7611
0,791
0,8186
0,8438
0,8665
0,8869
0,9049
0,9207
0,9345
0,9463
0,9564
0,9649
0,9719
0,9778
0,9826
0,9864
0,9896
0,992
0,994
0,9955
0,9966
0,9975
0,9982
0,9987
0,9991
0,9993
0,9995
0,9997
0,02
0,508
0,5478
0,5871
0,6255
0,6628
0,6985
0,7324
0,7642
0,7939
0,8212
0,8461
0,8686
0,8888
0,9066
0,9222
0,9357
0,9474
0,9573
0,9656
0,9726
0,9783
0,983
0,9868
0,9898
0,9922
0,9941
0,9956
0,9967
0,9976
0,9982
0,9987
0,9991
0,9994
0,9995
0,9997
0,95
0,99
1,96
2,575
0,03
0,512
0,5517
0,591
0,6293
0,6664
0,7019
0,7357
0,7673
0,7967
0,8238
0,8485
0,8708
0,8907
0,9082
0,9236
0,937
0,9484
0,9582
0,9664
0,9732
0,9788
0,9834
0,9871
0,9901
0,9925
0,9943
0,9957
0,9968
0,9977
0,9983
0,9988
0,9991
0,9994
0,9996
0,9997
0,04
0,516
0,5557
0,5948
0,6331
0,67
0,7054
0,7389
0,7704
0,7995
0,8264
0,8508
0,8729
0,8925
0,9099
0,9251
0,9382
0,9495
0,9591
0,9671
0,9738
0,9793
0,9838
0,9875
0,9904
0,9927
0,9945
0,9959
0,9969
0,9977
0,9984
0,9988
0,9992
0,9994
0,9996
0,9997
0,05
0,5199
0,5596
0,5987
0,6368
0,6736
0,7088
0,7422
0,7734
0,8023
0,8289
0,8531
0,8749
0,8944
0,9115
0,9265
0,9394
0,9505
0,9599
0,9678
0,9744
0,9798
0,9842
0,9878
0,9906
0,9929
0,9946
0,996
0,997
0,9978
0,9984
0,9989
0,9992
0,9994
0,9996
0,9997
0,06
0,5239
0,5636
0,6026
0,6406
0,6772
0,7123
0,7454
0,7764
0,8051
0,8315
0,8554
0,877
0,8962
0,9131
0,9279
0,9406
0,9515
0,9608
0,9686
0,975
0,9803
0,9846
0,9881
0,9909
0,9931
0,9948
0,9961
0,9971
0,9979
0,9985
0,9989
0,9992
0,9994
0,9996
0,9997
0,07
0,5279
0,5675
0,6064
0,6443
0,6808
0,7157
0,7486
0,7794
0,8078
0,834
0,8577
0,879
0,898
0,9147
0,9292
0,9418
0,9525
0,9616
0,9693
0,9756
0,9808
0,985
0,9884
0,9911
0,9932
0,9949
0,9962
0,9972
0,9979
0,9985
0,9989
0,9992
0,9995
0,9996
0,9997
0,08
0,5319
0,5714
0,6103
0,648
0,6844
0,719
0,7517
0,7823
0,8106
0,8365
0,8599
0,881
0,8997
0,9162
0,9306
0,9429
0,9535
0,9625
0,9699
0,9761
0,9812
0,9854
0,9887
0,9913
0,9934
0,9951
0,9963
0,9973
0,998
0,9986
0,999
0,9993
0,9995
0,9996
0,9997
0,09
0,5359
0,5753
0,6141
0,6517
0,6879
0,7224
0,7549
0,7852
0,8133
0,8389
0,8621
0,883
0,9015
0,9177
0,9319
0,9441
0,9545
0,9633
0,9706
0,9767
0,9817
0,9857
0,989
0,9916
0,9936
0,9952
0,9964
0,9974
0,9981
0,9986
0,999
0,9993
0,9995
0,9997
0,9998
Negative z Scores
Standard Normal (z) Distribution: Cumulative Area from the Left
z
negative 3.50 and lower
-3.4
-3.3
-3.2
-3.1
-3
-2.9
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-2.1
-2
-1.9
-1.8
-1.7
-1.6
-1.5
-1.4
-1.3
-1.2
-1.1
-1
-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
negative 0.0
Note: For values of z below -3.49, use 0.0001 for the area.
*Use these common values that result from interpolation:
z score
0
0.0001
0.0003
0.0005
0.0007
0.001
0.0013
0.0019
0.0026
0.0035
0.0047
0.0062
0.0082
0.0107
0.0139
0.0179
0.0228
0.0287
0.0359
0.0446
0.0548
0.0668
0.0808
0.0968
0.1151
0.1357
0.1587
0.1841
0.2119
0.242
0.2743
0.3085
0.3446
0.3821
0.4207
0.4602
0.5
Area
-1.645
-2.575
0.05
0.005
0.01
0.02
0.0003
0.0005
0.0007
0.0009
0.0013
0.0018
0.0025
0.0034
0.0045
0.006
0.008
0.0104
0.0136
0.0174
0.0222
0.0281
0.0351
0.0436
0.0537
0.0655
0.0793
0.0951
0.1131
0.1335
0.1562
0.1814
0.209
0.2389
0.2709
0.305
0.3409
0.3783
0.4168
0.4562
0.496
0.0003
0.0005
0.0006
0.0009
0.0013
0.0018
0.0024
0.0033
0.0044
0.0059
0.0078
0.0102
0.0132
0.017
0.0217
0.0274
0.0344
0.0427
0.0526
0.0643
0.0778
0.0934
0.1112
0.1314
0.1539
0.1788
0.2061
0.2358
0.2676
0.3015
0.3372
0.3745
0.4129
0.4522
0.492
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0003
0.0004
0.0006
0.0009
0.0012
0.0017
0.0023
0.0032
0.0043
0.0057
0.0075
0.0099
0.0129
0.0166
0.0212
0.0268
0.0336
0.0418
0.0516
0.063
0.0764
0.0918
0.1093
0.1292
0.1515
0.1762
0.2033
0.2327
0.2643
0.2981
0.3336
0.3707
0.409
0.4483
0.488
0.0003
0.0004
0.0006
0.0008
0.0012
0.0016
0.0023
0.0031
0.0041
0.0055
0.0073
0.0096
0.0125
0.0162
0.0207
0.0262
0.0329
0.0409
0.0505
0.0618
0.0749
0.0901
0.1075
0.1271
0.1492
0.1736
0.2005
0.2296
0.2611
0.2946
0.33
0.3669
0.4052
0.4443
0.484
0.0003
0.0004
0.0006
0.0008
0.0011
0.0016
0.0022
0.003
0.004
0.0054
0.0071
0.0094
0.0122
0.0158
0.0202
0.0256
0.0322
0.0401
0.0495
0.0606
0.0735
0.0885
0.1056
0.1251
0.1469
0.1711
0.1977
0.2266
0.2578
0.2912
0.3264
0.3632
0.4013
0.4404
0.4801
0.0003
0.0004
0.0006
0.0008
0.0011
0.0015
0.0021
0.0029
0.0039
0.0052
0.0069
0.0091
0.0119
0.0154
0.0197
0.025
0.0314
0.0392
0.0485
0.0594
0.0721
0.0869
0.1038
0.123
0.1446
0.1685
0.1949
0.2236
0.2546
0.2877
0.3228
0.3594
0.3974
0.4364
0.4761
0.0003
0.0004
0.0005
0.0008
0.0011
0.0015
0.0021
0.0028
0.0038
0.0051
0.0068
0.0089
0.0116
0.015
0.0192
0.0244
0.0307
0.0384
0.0475
0.0582
0.0708
0.0853
0.102
0.121
0.1423
0.166
0.1922
0.2206
0.2514
0.2843
0.3192
0.3557
0.3936
0.4325
0.4721
0.0003
0.0004
0.0005
0.0007
0.001
0.0014
0.002
0.0027
0.0037
0.0049
0.0066
0.0087
0.0113
0.0146
0.0188
0.0239
0.0301
0.0375
0.0465
0.0571
0.0694
0.0838
0.1003
0.119
0.1401
0.1635
0.1894
0.2177
0.2483
0.281
0.3156
0.352
0.3897
0.4286
0.4681
0.0002
0.0003
0.0005
0.0007
0.001
0.0014
0.0019
0.0026
0.0036
0.0048
0.0064
0.0084
0.011
0.0143
0.0183
0.0233
0.0294
0.0367
0.0455
0.0559
0.0681
0.0823
0.0985
0.117
0.1379
0.1611
0.1867
0.2148
0.2451
0.2776
0.3121
0.3483
0.3859
0.4247
0.4641
…
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